Pregunta
Find the missing number. \( \begin{array}{ll}\text { 1. } \frac{1}{4}=\frac{\square}{8} & \text { 2. } \frac{9}{12}=\frac{\square}{4}\end{array} \)
Ask by Davies Ellis. in the United States
Jan 24,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
The missing numbers are 2 and 3.
Solución
Let's solve each proportion by finding the missing number (represented by the square).
### 1. \( \frac{1}{4} = \frac{\square}{8} \)
**Solution:**
To find the missing number, let's denote it as \( x \).
\[
\frac{1}{4} = \frac{x}{8}
\]
**Cross-multiply:**
\[
1 \times 8 = 4 \times x
\]
\[
8 = 4x
\]
**Solve for \( x \):**
\[
x = \frac{8}{4} = 2
\]
**Answer:** \( \boxed{2} \)
---
### 2. \( \frac{9}{12} = \frac{\square}{4} \)
**Solution:**
Let's denote the missing number as \( y \).
First, simplify the fraction \( \frac{9}{12} \):
\[
\frac{9}{12} = \frac{3}{4}
\]
So the equation becomes:
\[
\frac{3}{4} = \frac{y}{4}
\]
**Cross-multiply:**
\[
3 \times 4 = 4 \times y
\]
\[
12 = 4y
\]
**Solve for \( y \):**
\[
y = \frac{12}{4} = 3
\]
**Answer:** \( \boxed{3} \)
---
**Final Answers:**
1. The missing number is **2**.
2. The missing number is **3**.
Revisado y aprobado por el equipo de tutoría de UpStudy
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Beyond the Answer
To solve the first equation \( \frac{1}{4}=\frac{\square}{8} \), you can cross-multiply. This gives you \( 1 \times 8 = 4 \times \square \), leading to \( 8 = 4\square \). Dividing both sides by 4, you find \( \square = 2 \). For the second equation \( \frac{9}{12}=\frac{\square}{4} \), again, you can cross-multiply: \( 9 \times 4 = 12 \times \square \), which simplifies to \( 36 = 12\square \). Dividing both sides by 12 results in \( \square = 3 \). So, the missing numbers are \( 2 \) and \( 3 \).
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